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LCM of 953, 802, 519, 548

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 953, 802, 519, 548 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 953, 802, 519, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 953,802,519,548

Given numbers are 953,802,519,548

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 953,802,519,548 is 108688899036.

Find LCM of 953,802,519,548 with Prime Factorization


2 953, 802, 519, 548
953, 401, 519, 274

Multiply the prime numbers at the bottom and the left side.

2 x 953 x 401 x 519 x 274 = 108688899036

Therefore, the lowest common multiple of 953,802,519,548 is 108688899036.

LCM Formula to Find Lowest Common Multiple of 953,802,519,548

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

953 x 802 x 519 x 548 = 217377798072

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

953 : 1, 953

802 : 1, 2, 401, 802

519 : 1, 3, 173, 519

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,802,519,548, is 1.

Now, the common factors can be found like this.

953:953

802:2x 401

519:3x 173

548:2x 2x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 217377798072/(1x2)

LCM = 217377798072/2

LCM = 108688899036

Thus, we can understand that the LCM of 953,802,519,548 is 108688899036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 953, 802, 519, 548

1. What is the LCM of 953, 802, 519, 548?

Answer: LCM of 953, 802, 519, 548 is 108688899036.

2. How to calculate the LCM of 953, 802, 519, 548?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 953, 802, 519, 548.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.